Corrigenda to “Cohen-Macaulay bipartite graphs in arbitrary codimension”

Haghighi, Hassan; Yassemi, Siamak; Zaare-Nahandi, Rahim

doi:10.1090/proc/15462

Corrigenda to “Cohen-Macaulay bipartite graphs in arbitrary codimension”
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by Hassan Haghighi, Siamak Yassemi and Rahim Zaare-Nahandi

Proc. Amer. Math. Soc. 149 (2021), 3597-3599

DOI: https://doi.org/10.1090/proc/15462

Published electronically: May 18, 2021

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Original Article: Proc. Amer. Math. Soc. 143 (2015), 1981-1989.

Abstract:

A misuse of terminology has occurred in the statement and proof of Theorem 4.1 in our paper [Proc. Amer. Math. Soc. 143 (2015), pp. 1981–1989] which caused some justifiable misinterpretation of this result. To recover this result we provide a new definition and give the statement of our result in terms of this definition. The proof of the new version is an improvement of the old proof. The effect of the new definition on further relevant results in our paper has been adopted in a remark.

References

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Hassan Haghighi, Siamak Yassemi, and Rahim Zaare-Nahandi, Bipartite $S_2$ graphs are Cohen-Macaulay, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 53(101) (2010), no. 2, 125–132. MR 2667973
Hassan Haghighi, Siamak Yassemi, and Rahim Zaare Nahandi, Cohen-Macaulay bipartite graphs in arbitrary codimension, Proc. Amer. Math. Soc. 143 (2015), no. 5, 1981–1989. MR 3314108, DOI 10.1090/S0002-9939-2015-12433-1